A matrix equality useful in goodness-of-fit testing of structural equation models

2003 ◽  
Vol 114 (1-2) ◽  
pp. 63-80 ◽  
Author(s):  
Albert Satorra ◽  
Heinz Neudecker
1981 ◽  
Vol 18 (3) ◽  
pp. 382-388 ◽  
Author(s):  
Claes Fornell ◽  
David F. Larcker

Several issues relating to goodness of fit in structural equations are examined. The convergence and differentiation criteria, as applied by Bagozzi, are shown not to stand up under mathematical or statistical analysis. The authors argue that the choice of interpretative statistic must be based on the research objective. They demonstrate that when this is done the Fornell-Larcker testing system is internally consistent and that it conforms to the rules of correspondence for relating data to abstract variables.


2008 ◽  
Vol 57 (4) ◽  
pp. 633-642 ◽  
Author(s):  
Chien-Tai Lin ◽  
Yen-Lung Huang ◽  
N. Balakrishnan

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